Never-ending logarithmic series
Algebra
Level
2
\[ \log_2x+\log_2\left( \sqrt{x} \right) +\log_2\left(\sqrt{\sqrt{x}}\right)+\log_2\left(\sqrt{\sqrt{\sqrt{x}}}\right)+ \ldots =4\]
What is the positive value of \(x\) that satisfies the equation above?
by
Sandeep Bhardwaj